학술저널
HARMONIC MAPS BETWEEN THE GROUP OF AUTOMORPHISMS OF THE QUATERNION ALGEBRA
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 2
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2012.05331 - 339 (9 pages)
- 2
In this paper, let Q be the real quaternion algebra which consists of all quaternionic numbers, and let G be the Lie group of all automorphisms of the algebra Q. Assume that g is an arbitrary given left invariant Riemannian metric on the Lie groupG. Then, we obtain a necessary and su±cient condition for an automorphism of the group G to be harmonic.
1. Introduction
2. The Lie group of all automorphisms of the quaternion algebra
3. Harmonic automorphisms between the Lie group of all automorphisms of the quaternion algebra
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